Lecture series 2018: Functions of least gradient

by Nageswari Shanmugalingam

Schedule (all in Hopningspunkten )

Friday 16 February 13-15

Monday 5 March 15-17

Thursday 8 March 10-12

Friday 23 March 13-15

Monday 26 March 15-17

Lecture series 2017: Introduction to BV theory in the metric setting

by Nageswari Shanmugalingam

Abstract: The Caccioppoli-Miranda approach to the theory of functions of bounded variation is extended to the setting of metric measure spaces in this course. The course will begin with an introduction to Sobolev space theory in the metric setting, and the geometry behind Poincare inequality is discussed. We will then look at sets of finite perimeter and their associated geometric measure theory. We will end the course by discussing various notions of Dirichlet problem for functions of least gradient (also known as 1-harmonic functions).

Lecture Notes

Sidansvarig: anders.bjorn@liu.se
Senast uppdaterad: 2018-03-07